document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=904088>Question 904088</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi would you please help me with this question and could you show me the steps on how to solve it please.\r<BR>\n" );
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document.write( "Solve the system of equations:<BR>\n" );
document.write( "x+y+z=1<BR>\n" );
document.write( "2x+4y+2z=-4<BR>\n" );
document.write( "-x+7y-3z=-35\r<BR>\n" );
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document.write( "My professor said the solution set is {(-1,-3,5)}\r<BR>\n" );
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document.write( "Can you kindly show me how he got those answers please. Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #548511 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=548511\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1,1,1,1<BR>\n" );
document.write( "2,4,2,-4<BR>\n" );
document.write( "-1,7,-3,-35\r<BR>\n" );
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document.write( "add  down (-2) *row 1 to row 2<BR>\n" );
document.write( "1,1,1,1<BR>\n" );
document.write( "0,2,0,-6<BR>\n" );
document.write( "-1,7,-3,-35\r<BR>\n" );
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document.write( "add  down (1) *row 1 to row 3<BR>\n" );
document.write( "1,1,1,1<BR>\n" );
document.write( "0,2,0,-6<BR>\n" );
document.write( "0,8,-2,-34\r<BR>\n" );
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document.write( "divide row 2 by 2<BR>\n" );
document.write( "1,1,1,1<BR>\n" );
document.write( "0,1,0,-3<BR>\n" );
document.write( "0,8,-2,-34\r<BR>\n" );
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document.write( "add  down (-8) *row 2 to row 3<BR>\n" );
document.write( "1,1,1,1<BR>\n" );
document.write( "0,1,0,-3<BR>\n" );
document.write( "0,0,-2,-10\r<BR>\n" );
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document.write( "divide row 3 by -2<BR>\n" );
document.write( "1,1,1,1<BR>\n" );
document.write( "0,1,0,-3<BR>\n" );
document.write( "0,0,1,5\r<BR>\n" );
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document.write( "We now have the value for the last variable.<BR>\n" );
document.write( "We will work our way up and get the other solutions.\r<BR>\n" );
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document.write( "add up  (0) *row 3 to row 2<BR>\n" );
document.write( "1,1,1,1<BR>\n" );
document.write( "0,1,0,-3<BR>\n" );
document.write( "0,0,1,5\r<BR>\n" );
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document.write( "add up  (-1) *row 3 to row 1<BR>\n" );
document.write( "1,1,0,-4<BR>\n" );
document.write( "0,1,0,-3<BR>\n" );
document.write( "0,0,1,5\r<BR>\n" );
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document.write( "add up  (-1) *row 2 to row 1<BR>\n" );
document.write( "1,0,0,-1<BR>\n" );
document.write( "0,1,0,-3<BR>\n" );
document.write( "0,0,1,5\r<BR>\n" );
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document.write( "final\r<BR>\n" );
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document.write( "1,0,0,-1<BR>\n" );
document.write( "0,1,0,-3<BR>\n" );
document.write( "0,0,1,5<BR>\n" );
document.write( "\"-1\",\"-3\",\"5\"<BR>\n" );
document.write( "(-1,-3,5)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );